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In the field of reliability engineering, the Active learning reliability method combining Kriging and Monte Carlo Simulation (AK-MCS) has been developed and demonstrated to be effective in reliability analysis. However, the performance of…

Computational Engineering, Finance, and Science · Computer Science 2025-05-20 Wenxiong Li , Rong Geng , Suiyin Chen

Building an accurate surrogate model for the spatio-temporal outputs of a computer simulation is a challenging task. A simple approach to improve the accuracy of the surrogate is to cluster the outputs based on similarity and build a…

Machine Learning · Computer Science 2023-07-06 Chandrika Kamath , Juliette S. Franzman

This work falls within the context of predicting the value of a real function at some input locations given a limited number of observations of this function. The Kriging interpolation technique (or Gaussian process regression) is often…

Machine Learning · Statistics 2017-07-26 Didier Rullière , Nicolas Durrande , François Bachoc , Clément Chevalier

In the context of Gaussian Process Regression or Kriging, we propose a full-Bayesian solution to deal with hyperparameters of the covariance function. This solution can be extended to the Trans-Gaussian Kriging framework, which makes it…

Applications · Statistics 2018-05-24 Joseph Muré

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

Risk assessment of hurricane-driven storm surge relies on deterministic computer models that produce outputs over a large spatial domain. The surge models can often be run at a range of fidelity levels, with greater precision yielding more…

Methodology · Statistics 2026-03-31 Cyrus S. McCrimmon , Pulong Ma

The present study proposes a data-driven framework trained with high-fidelity simulation results to facilitate decision making for combustor designs. At its core is a surrogate model employing a machine-learning technique called kriging,…

Computational Engineering, Finance, and Science · Computer Science 2017-09-25 Shiang-Ting Yeh , Xingjian Wang , Chih-Li Sung , Simon Mak , Yu-Hung Chang , Liwei Zhang , C. F. Jeff Wu , Vigor Yang

Surrogate models for computational simulations are input-output approximations that allow computationally intensive analyses, such as uncertainty propagation and inference, to be performed efficiently. When a simulation output does not…

Computational Engineering, Finance, and Science · Computer Science 2014-08-05 Alex A. Gorodetsky , Youssef M. Marzouk

Computationally intensive distributed and parallel computing is often bottlenecked by a small set of slow workers known as stragglers. In this paper, we utilize the emerging idea of "coded computation" to design a novel…

Information Theory · Computer Science 2017-06-06 Yaoqing Yang , Pulkit Grover , Soummya Kar

Cross validation is an important tool in the RBF collocation setting, especially for the crucial tuning of the shape parameter related to the radial basis function. In this paper, we define a new efficient surrogate cross validation…

Numerical Analysis · Mathematics 2023-07-18 Francesco Marchetti

This paper addresses the use of experimental data for calibrating a computer model and improving its predictions of the underlying physical system. A global statistical approach is proposed in which the bias between the computer model and…

Applications · Statistics 2013-02-27 François Bachoc , Guillaume Bois , Josselin Garnier , Jean-Marc Martinez

When evaluating quantities of interest that depend on the solutions to differential equations, we inevitably face the trade-off between accuracy and efficiency. Especially for parametrized, time dependent problems in engineering…

Numerical Analysis · Mathematics 2022-12-21 Paolo Conti , Mengwu Guo , Andrea Manzoni , Jan S. Hesthaven

Sample efficiency in the face of computationally expensive simulations is a common concern in surrogate modeling. Current strategies to minimize the number of samples needed are not as effective in simulated environments with wide state…

Machine Learning · Computer Science 2025-09-03 Julen Cestero , Marco Quartulli , Marcello Restelli

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

Machine Learning · Statistics 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

Near term quantum computers suffer from the presence of different noise sources. In order to mitigate for this effect and acquire results with significantly better accuracy, there is the urge of designing efficient error correction or error…

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

Machine Learning · Computer Science 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

Multifidelity surrogate modelling combines data of varying accuracy and cost from different sources. It strategically uses low-fidelity models for rapid evaluations, saving computational resources, and high-fidelity models for detailed…

Machine Learning · Computer Science 2024-04-24 Daniel N Wilke

Coded distributed computing was recently introduced to mitigate the effect of stragglers on distributed computing. This paper combines ideas of approximate computing with coded computing to further accelerate computation. We propose…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-11 Shahrzad Kiani , Stark C. Draper

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

This tutorial focuses on kriging-based simulation optimization, emphasizing the importance of data efficiency in optimization problems involving expensive simulation models. It discusses how kriging models contribute to developing…

Optimization and Control · Mathematics 2025-02-11 Sasan Amini , Inneke Van Nieuwenhuyse